Lesson 4 1 radian degree measure
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Lesson 4.1 Radian & Degree Measure PowerPoint PPT Presentation


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Lesson 4.1 Radian & Degree Measure. Parts and Types of Angles. Terminal & Initial. Positive & Negative. Coterminal A positive and negative angle where. 30 o & ______. 120 o & ______. Investigate Draw a circle and make up a number for the radius.

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Lesson 4.1 Radian & Degree Measure

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Lesson 4 1 radian degree measure

Lesson 4.1Radian & Degree Measure


Lesson 4 1 radian degree measure

Parts and Types of Angles

Terminal & Initial

Positive & Negative

Coterminal

A positive and negative angle where

30o & ______

120o & ______


Lesson 4 1 radian degree measure

  • Investigate

  • Draw a circle and make up a number for the radius.

  • Estimate a sector where the arc length would be equal to the radius

  • Find the circumference of the circle.

  • Use the formula below to find the degree measure of the arc

  • Then, what is the measure of the central angle of your sector?

  • Write your results in the table:


Lesson 4 1 radian degree measure

Radian

The angle size when the arc length equals the radius of a circle

Question: How many radians to equal 180o? 360o?

Full revolution:


Lesson 4 1 radian degree measure

Radian Measures

The units of an angle are in degrees or radians

Converting

Units have

to cancel


Lesson 4 1 radian degree measure

Examples

Sketch in standard position.

Find 2 coterminal angles to


Lesson 4 1 radian degree measure

Arc Length and Speed

Units = radians

Arc Length =

Linear Speed =

Speed = Distance over time

Angular Speed =


Lesson 4 1 radian degree measure

Example

Find the angle in degrees

31 in.

12 in.


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